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8230152560 = 2457235691123
BaseRepresentation
bin1111010101000111…
…00010100101110000
3210020120111001212012
413222203202211300
5113323404340220
63440400422052
7410644066610
oct75243424560
923216431765
108230152560
113543785483
121718317928
13a12126976
14581098a40
1533280dac5
hex1ea8e2970

8230152560 has 160 divisors (see below), whose sum is σ = 22879964160. Its totient is φ = 2691938304.

The previous prime is 8230152529. The next prime is 8230152677. The reversal of 8230152560 is 652510328.

It is a super-2 number, since 2×82301525602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7328159 + ... + 7329281.

It is an arithmetic number, because the mean of its divisors is an integer number (142999776).

Almost surely, 28230152560 is an apocalyptic number.

8230152560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439982080).

8230152560 is an abundant number, since it is smaller than the sum of its proper divisors (14649811600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8230152560 is a wasteful number, since it uses less digits than its factorization.

8230152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 8230152560 is about 90720.1882714096. The cubic root of 8230152560 is about 2018.9983401031.

Adding to 8230152560 its reverse (652510328), we get a palindrome (8882662888).

The spelling of 8230152560 in words is "eight billion, two hundred thirty million, one hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 569 644 805 920 1123 1138 1288 1610 1840 2246 2276 2576 2845 3220 3983 4492 4552 5615 5690 6440 7861 7966 8984 9104 11230 11380 12880 13087 15722 15932 17968 19915 22460 22760 25829 26174 31444 31864 39305 39830 44920 45520 51658 52348 62888 63728 65435 78610 79660 89840 91609 103316 104696 125776 129145 130870 157220 159320 180803 183218 206632 209392 258290 261740 314440 318640 361606 366436 413264 458045 516580 523480 628880 638987 723212 732872 904015 916090 1033160 1046960 1277974 1446424 1465744 1808030 1832180 2066320 2555948 2892848 3194935 3616060 3664360 4472909 5111896 6389870 7232120 7328720 8945818 10223792 12779740 14464240 14696701 17891636 22364545 25559480 29393402 35783272 44729090 51118960 58786804 71566544 73483505 89458180 102876907 117573608 146967010 178916360 205753814 235147216 293934020 357832720 411507628 514384535 587868040 823015256 1028769070 1175736080 1646030512 2057538140 4115076280 8230152560